Worksheet: Rearranging Formulas for Physical Quantities

In this worksheet, we will practice changing the subject of a formula and recognising valid rearrangements of combinations of formulas.

Q1:

The subject of the formula 𝑣 𝑢 = 2 𝑎 𝑠 is 𝑣 . The formula is rearranged so that one side of the formula is equal to ( 𝑣 𝑢 ) 2 𝑠 . Which of the following is the other side of the formula equal to?

  • A 𝑎
  • B 𝑎
  • C 𝑎
  • D 𝑎

Q2:

Kinetic energy is given by the formula 𝐸 = 1 2 𝑚 𝑣 . The weight, 𝑊 , of an object is 𝑚 𝑔 . Which of the following is a correct formula that has a subject equal to the ratio of the kinetic energy of an object to its weight?

  • A 𝐸 𝑊 = 𝑣 2 𝑔
  • B 𝐸 𝑊 = 2 𝑔 𝑣
  • C 𝐸 𝑊 = 2 𝑣 𝑔
  • D 𝐸 𝑊 = 𝑔 𝑣 2
  • E 𝐸 𝑊 = 𝑔 2 𝑣

Q3:

The subject of the formula f o r c e m a s s a c c e l e r a t i o n = × is force. Which of the following correctly shows the same formula with acceleration as the subject of the formula?

  • A A c c e l e r a t i o n f o r c e m a s s = ×
  • B A c c e l e r a t i o n m a s s f o r c e =
  • C A c c e l e r a t i o n f o r c e m a s s =

Q4:

The subject of the formula s p e e d d i s t a n c e t i m e = is speed. Which of the following correctly shows the same formula with time as the subject of the formula?

  • A T i m e d i s t a n c e s p e e d = ×
  • B T i m e s p e e d d i s t a n c e =
  • C T i m e d i s t a n c e s p e e d =

Q5:

The subject of the formula a c c e l e r a t i o n n a l v e l o c i t y i n i t i a l v e l o c i t y t i m e = ( ) is acceleration. Which of the following correctly shows the same formula with time as the subject of the formula?

  • A T i m e a c c e l e r a t i o n n a l v e l o c i t y i n i t i a l v e l o c i t y = ( )
  • B T i m e n a l v e l o c i t y i n i t i a l v e l o c i t y a c c e l e r a t i o n = ( ) ×
  • C T i m e n a l v e l o c i t y i n i t i a l v e l o c i t y a c c e l e r a t i o n = ( )

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